Non-Asymptotic Achievable Rate-Distortion Region for Indirect Wyner-Ziv Source Coding
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918103079714816 |
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| author | Wei, Jiahui Mary, Philippe Dupraz, Elsa |
| author_facet | Wei, Jiahui Mary, Philippe Dupraz, Elsa |
| contents | In the Wyner-Ziv source coding problem, a source $X$ has to be encoded while the decoder has access to side information $Y$. This paper investigates the indirect setup, in which a latent source $S$, unobserved by both the encoder and the decoder, must also be reconstructed at the decoder. This scenario is increasingly relevant in the context of goal-oriented communications, where $S$ can represent semantic information obtained from $X$. This paper derives the indirect Wyner-Ziv rate-distortion function in asymptotic regime and provides an achievable region in finite block-length. Furthermore, a Blahut-Arimoto algorithm tailored for the indirect Wyner-Ziv setup, is proposed. This algorithm is then used to give a numerical evaluation of the achievable indirect rate-distortion region when $S$ is treated as a classification label. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17432 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Asymptotic Achievable Rate-Distortion Region for Indirect Wyner-Ziv Source Coding Wei, Jiahui Mary, Philippe Dupraz, Elsa Information Theory In the Wyner-Ziv source coding problem, a source $X$ has to be encoded while the decoder has access to side information $Y$. This paper investigates the indirect setup, in which a latent source $S$, unobserved by both the encoder and the decoder, must also be reconstructed at the decoder. This scenario is increasingly relevant in the context of goal-oriented communications, where $S$ can represent semantic information obtained from $X$. This paper derives the indirect Wyner-Ziv rate-distortion function in asymptotic regime and provides an achievable region in finite block-length. Furthermore, a Blahut-Arimoto algorithm tailored for the indirect Wyner-Ziv setup, is proposed. This algorithm is then used to give a numerical evaluation of the achievable indirect rate-distortion region when $S$ is treated as a classification label. |
| title | Non-Asymptotic Achievable Rate-Distortion Region for Indirect Wyner-Ziv Source Coding |
| topic | Information Theory |
| url | https://arxiv.org/abs/2507.17432 |